RICCI FLOW, QUANTUM MECHANICS AND GRAVITY
نویسندگان
چکیده
منابع مشابه
Ricci Flow, Quantum Mechanics and Gravity
It has been argued that, underlying any given quantum–mechanical model, there exists at least one deterministic system that reproduces, after prequantisation, the given quantum dynamics. For a quantum mechanics with a complex d–dimensional Hilbert space, the Lie group SU(d) represents classical canonical transformations on the projective space CP of quantum states. Let R stand for the Ricci flo...
متن کاملRicci Flow Gravity
A theory of gravitation is proposed, modeled after the notion of a Ricci flow. In addition to the metric an independent volume enters as a fundamental geometric structure. Einstein gravity is included as a limiting case. Despite being a scalar-tensor theory the coupling to matter is different from Jordan-Brans-Dicke gravity. In particular there is no adjustable coupling constant. For the solar ...
متن کاملOn the Ricci Flow and Emergent Quantum Mechanics
The Ricci flow equation of a conformally flat Riemannian metric on a closed 2–dimensional configuration space is analysed. It turns out to be equivalent to the classical Hamilton–Jacobi equation for a point particle subject to a potential function that is proportional to the Ricci scalar curvature of configuration space. This allows one to obtain Schroedinger quantum mechanics from Perelman’s a...
متن کاملRicci Flow and Quantum Theory
We show how Ricci flow is related to quantum theory via Fisher information and the quantum potential.
متن کاملGerbes, Quantum Mechanics and Gravity
We prove that invariance of a quantum theory under the semiclassical vs. strong– quantum duality S/~ ←→ ~/S, where S is the classical action, is equivalent to noncommutativity (of the Heisenberg–algebra type) of the coordinates of the space on which S is defined. We place these facts in correspondence with gerbes and Neveu– Schwarz B–fields and discuss their implications for a quantum theory of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2009
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887809003643